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Finding the Fourth Proportional to 91.76, 136.82 and 88.16

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Solution

The fourth proportional to 91.76, 136.82 and 88.16 is: 131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.76 : 136.82 = 88.16 : x
  2. Step 2: Convert to fraction form
    91.76/136.82 = 88.16/x
  3. Step 3: Cross multiply
    91.76x = 136.82 × 88.16
  4. Step 4: Simplify right side
    91.76x = 12,062.05
  5. Step 5: Solve for x
    x = 12,062.05/91.76
  6. Step 6: Final answer
    x = 131.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.